Fractal functions and Schauder bases

DOI10.1016/0898-1221(95)00107-7zbMath0838.28009OpenAlexW2064591776MaRDI QIDQ1904184

Zbigniew Ciesielski

Publication date: 29 April 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00107-7

zbMATH Keywords

waveletsSchauder basisbox dimensionfractal dimensionfractal functionsHaar basisentropy dimension

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Fractals (28A80)

Related Items (3)

The jump problem and the Faber-Schauder series ⋮ Approximation properties in fuzzy normed spaces ⋮ Analysis of a fractal boundary: the graph of the Knopp function

Cites Work

• Construction of functions from their values at the binary-rational points of an m-dimensional cube
• Schauder bases in Banach spaces of continuous functions
• Geometrical dimension versus smoothness
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